1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Galina-37 [17]
3 years ago
10

One more question on this test guys. please answer as fast as possible. If you do,

Mathematics
1 answer:
GaryK [48]3 years ago
6 0

1. The given rectangular equation is x=2.

We substitute x=r\cos \theta.

r\cos \theta=2

Divide through by \cos \theta

r=\frac{2}{\cos \theta}

r=2}\sec \theta

\boxed{x=2\to r=2\sec \theta}

2. The given rectangular equation is:

x^2+y^2=36

This is the same as:

x^2+y^2=6^2

We use the relation r^2=x^2+y^2

This implies that:

r^2=6^2

\therefore r=6

\boxed{x^2+y^2=36\to r=6}

3. The given rectangular equation is:

x^2+y^2=2y

This is the same as:

We use the relation r^2=x^2+y^2 and y=r\sin \theta

This implies that:

r^2=2r\sin \theta

Divide through by r

r=2\sin \theta

\boxed{x^2+y^2=2y\to r=2\sin \theta}

4. We have x=\sqrt{3}y

We substitute y=r\sin \theta and x=r\cos \theta

r\cos \theta=r\sin \theta\sqrt{3}

This implies that;

\tan \theta=\frac{\sqrt{3}}{3}

\theta=\frac{\pi}{6}

\boxed{x=\sqrt{3}y\to \theta=\frac{\pi}{6}}

5. We have x=y

We substitute y=r\sin \theta and x=r\cos \theta

r\cos \theta=r\sin \theta

This implies that;

\tan \theta=1

\theta=\frac{\pi}{4}

\boxed{x=y\to \theta=\frac{\pi}{4}}

You might be interested in
3x+2y=0 <br> x-5y=17<br><br> Solving system using elimination
horsena [70]
(2,-3) is the answer

6 0
3 years ago
Pls help what is this as a simplified fraction (thank u Jesus loves u)
Arte-miy333 [17]

Answer:

7.9 or 79/10

Step-by-step explanation:

-12.166 / -1.54

12.166 / 1.54

7.9

4 0
2 years ago
Read 2 more answers
Write the answer in scientific notation and in standard form.Round to the appropriate number of significant digits.
Aleks [24]

Hey there, the answer is C.

After multiplying, you will get .37278. However, it's asking you to consider the significant figure of 3 so you'll have to round it to .373. C has that only option

7 0
3 years ago
Carley beat the school record for the 400 meter run by 1.3 seconds. If she ran the race in 55.7 seconds, what was the record.
dybincka [34]

Answer:

57 seconds

Step-by-step explanation:

55.7 + 1.3 = 57 seconds

8 0
2 years ago
Find the area of the shaded region.<br> use 3.14 for pi. Round to the hundredths if necessary.
ludmilkaskok [199]

Answer:

<em>122.46 cm² </em>

Step-by-step explanation:

A = \pi r^{2}

~~~~~~~~~

r_{1} = 8 cm

r_{2} = 5 cm

A = 3.14 ( 8² - 5² ) ≈ <em>122.46 cm²</em>

7 0
3 years ago
Other questions:
  • What is the correct answer
    14·2 answers
  • Which of the following is equivalent to 60^1/2
    8·2 answers
  • What is the constant of proportionality in the equation y = 2.5x?
    12·2 answers
  • The graph below shows the relationship between time and distance traveled by a race car moving at a
    9·1 answer
  • 2) Prove that these two lines are parallel:
    11·1 answer
  • Three workers arrive at work 15 minutes late, at a cost of $11/ hour.
    11·1 answer
  • Which of the following equations describes the line shown below? Check all that apply. (Brainliest Marked) ​
    12·2 answers
  • 14
    7·1 answer
  • in triangle pqr the measure of r=90 rp=3.7 and pq=9.5 find the measure of &lt;Q to the nearest tenth of a degree​
    7·1 answer
  • A sample contains 61 pairs of values. Find the critical value for the linear correlation coefficient from Table A-6 correspondin
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!